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Finding the Fourth Proportional to 6,508.80, 9,768.64 and 5,896.44

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Solution

The fourth proportional to 6,508.80, 9,768.64 and 5,896.44 is: 8,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.80 : 9,768.64 = 5,896.44 : x
  2. Step 2: Convert to fraction form
    6,508.80/9,768.64 = 5,896.44/x
  3. Step 3: Cross multiply
    6,508.80x = 9,768.64 × 5,896.44
  4. Step 4: Simplify right side
    6,508.80x = 57,600,199.64
  5. Step 5: Solve for x
    x = 57,600,199.64/6,508.80
  6. Step 6: Final answer
    x = 8,849.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.